Statistical convergence and statistical continuity on locally solid Riesz spaces


ALBAYRAK H. , PEHLİVAN S.

TOPOLOGY AND ITS APPLICATIONS, cilt.159, ss.1887-1893, 2012 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 159 Konu: 7
  • Basım Tarihi: 2012
  • Doi Numarası: 10.1016/j.topol.2011.04.026
  • Dergi Adı: TOPOLOGY AND ITS APPLICATIONS
  • Sayfa Sayıları: ss.1887-1893

Özet

In this work, we introduce the concepts of statistical tau-convergence, statistically tau-Cauchy sequence and statistically tau-bounded sequence in a locally solid Riesz space endowed with the topology tau, and investigate some properties of these concepts. We also examine the statistical tau-continuity of a mapping defined on a locally solid Riesz space. (c) 2011 Elsevier B.V. All rights reserved.